On the Inflated Tire Profile: Inflation and Axial Compression of a Composite, Initially Cylindrical Membrane

1976 ◽  
Vol 4 (3) ◽  
pp. 169-180
Author(s):  
D. W. Nicholson
Keyword(s):  
Exact Solution ◽  
Shear Stress ◽  
Numerical Method ◽  
Axial Compression ◽  
Method Of Solution ◽  
The Cross ◽  
Special Case ◽  
Numerical Method Of Solution ◽  
Tension Maximum

Abstract The analysis for the inflation of bias tires, based on the model of the net of inextensible cords, is reformulated in terms of bead point coordinates and the cross angle of cords in the initially cylindrical membrane. A simple numerical method of solution is described. An exact solution in a special case is given. Computations are presented for maximum cord tension, maximum cord-rubber shear stress, and bead tension.

Numerical Methods for Solving Physically Nonlinear Problems for Inhomogeneous Thick-Walled Shells

2017 ◽  
Vol 865 ◽  
pp. 325-330 ◽  
Author(s):  
Vladimir I. Andreev ◽  
Lyudmila S. Polyakova
Keyword(s):  
Numerical Method ◽  
Nonlinear Problems ◽  
Successive Approximations ◽  
Method Of Successive Approximations ◽  
Deformation Diagram ◽  
Method Of Solution ◽  
Properties Of Materials ◽  
Physical Fields ◽  
Cylinders And Spheres ◽  
Numerical Method Of Solution

The paper proposes the numerical method of solution the problems of calculation the stress state in thick-walled cylinders and spheres from physically nonlinear inhomogeneous material. The urgency of solved problem due to the change of mechanical properties of materials under the influence of different physical fields (temperature, humidity, radiation, etc.). The deformation diagram describes the three-parameter formula. The numerical method used the method of successive approximations. The results of numerical calculation are compared with the test analytical solutions obtaining the authors with some restrictions on diagram parameters. The obtained results can be considered quite satisfactory.

Analysis of Externally Pressurized Gas Journal Bearing

1970 ◽  
Vol 12 (1) ◽  
pp. 1-8 ◽  
Author(s):  
B. C. Majumdar
Keyword(s):  
Numerical Method ◽  
Approximate Method ◽  
Journal Bearing ◽  
Design Parameters ◽  
Method Of Solution ◽  
Bearing Design ◽  
Numerical Method Of Solution ◽  
Gas Journal Bearing

An externally pressurized gas journal bearing with multiple supply holes is analysed theoretically by numerical method of solution. The load and flow are predicted by considering both axial and circumferential flow. These load and flow expressed in dimensionless factors are presented for different bearing design parameters. The results are compared with the similar available approximate method.

On the Corner Boundary Layer with Favourable Pressure Gradient

1972 ◽  
Vol 23 (2) ◽  
pp. 161-168 ◽  
Author(s):  
M Zamir
Keyword(s):  
Boundary Layer ◽  
Velocity Profile ◽  
Pressure Gradient ◽  
Numerical Method ◽  
Secondary Flow ◽  
Pressure Gradients ◽  
The Family ◽  
Method Of Solution ◽  
Solutions Of Equations ◽  
Numerical Method Of Solution

SummarySolutions of equations governing the flow in the plane of symmetry of a corner boundary layer with favourable pressure gradients are presented. The results indicate that as the pressure gradient is reduced the secondary flow in the plane of symmetry reverses its direction from a flow into the corner to an outflow away from the corner, the main velocity profile being of the separation type with zero gradient at the wall and a point of inflection within the boundary layer. As the pressure gradient is reduced further the numerical method of solution is found to break down, possibly because of a drastic change of character in the family of solutions. This may be indicative of a corresponding change of character in the physical flow which, it is hoped, may clarify some of the unexplained phenomena disclosed by recent experiments on the corner boundary layer with zero pressure gradient.

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